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Finding the Fourth Proportional to 109,838.70, 164,758.05 and 80,314.20

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Solution

The fourth proportional to 109,838.70, 164,758.05 and 80,314.20 is: 120,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,838.70 : 164,758.05 = 80,314.20 : x
  2. Step 2: Convert to fraction form
    109,838.70/164,758.05 = 80,314.20/x
  3. Step 3: Cross multiply
    109,838.70x = 164,758.05 × 80,314.20
  4. Step 4: Simplify right side
    109,838.70x = 13,232,410,979.31
  5. Step 5: Solve for x
    x = 13,232,410,979.31/109,838.70
  6. Step 6: Final answer
    x = 120,471.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.